Answer:
a) 8.13
b) 4.10
Step-by-step explanation:
Given the rate of reaction R'(t) = 2/t+1 + 1/√t+1
In order to get the total reaction R(t) to the drugs at this times, we need to first integrate the given function to get R(t)
On integrating R'(t)
∫ (2/t+1 + 1/√t+1)dt
In integration, k∫f'(x)/f(x) dx = 1/k ln(fx)+C where k is any constant.
∫ (2/t+1 + 1/√t+1)dt
= ∫ (2/t+1)dt+ ∫ (1/√t+1)dt
= 2∫ 1/t+1 dt +∫1/+(t+1)^1/2 dt
= 2ln(t+1) + 2(t+1)^1/2 + C
= 2ln(t+1) + 2√(t+1) + C
a) For total reactions from t = 1 to t = 12
When t = 1
R(1) = 2ln2 + 2√2
≈ 4.21
When t = 12
R(12) = 2ln13 + 2√13
≈ 12.34
R(12) - R(1) ≈ 12.34-4.21
≈ 8.13
Total reactions to the drugs over the period from t = 1 to t= 12 is approx 8.13.
b) For total reactions from t = 12 to t = 24
When t = 12
R(12) = 2ln13 + 2√13
≈ 12.34
When t = 24
R(24) = 2ln25 + 2√25
≈ 16.44
R(12) - R(1) ≈ 16.44-12.34
≈ 4.10
Total reactions to the drugs over the period from t = 12 to t= 24 is approx 4.10
There are 1,000 mm in a m. So with that said you would do 300/1000. This equals 0.3.
So your answer is going to be 0.3
Hope this helps :)
7: $200<3x-y(28) where x represents each kids money out of it and y represents the parents pay.
8: 7.00>(is greater then or equal to) 0.75X + 1.29Y where X is the amount of bagels and Y is the amount of cream cheese containers.
9: $25 + $75>4X where X is the shirts
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11: 2400= 2100+ X(1/20) where X is the value of all things sold.
12: 2000<(X7)-668 where X is the amount of cans in one day.
13: 100> 7X - 10Y where X equals the amount of months and Y equals the amount of CD's
14: $80 - $22> (greater than or equal to) 17X where x equals the amount of shirts.
first off sorry it took so long to answer, these long word questions are time consuming and i havent done them in a while so i had to refresh my memory, secondly the equations all end where i say the word "where", thirdly i am absolutely sure of all these answers except for the first one, the first one i am pretty sure i still got it but not 100%.
hope this helps.
Answer is 22.25, hope this helps!!
Answer:
sorry man or man drawing a little more about the job than the rest on any of these